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Popular >

factor x^6+y^6

Solution

factor

x^{6} + y^{6}

Solution

(x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4})

Solution steps

x^{6} + y^{6}

Apply exponent rules

= (x^{2})^{3} + (y^{2})^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(x^{2})^{3} + (y^{2})^{3} = (x^{2} + y^{2}) ((x^{2})^{2} - x^{2} y^{2} + (y^{2})^{2})

= (x^{2} + y^{2}) ((x^{2})^{2} - x^{2} y^{2} + (y^{2})^{2})

Simplify

(x^{2})^{2} - x^{2} y^{2} + (y^{2})^{2} : x^{4} - x^{2} y^{2} + y^{4}

= (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4})

Popular Examples

18 - \frac{2}{3} x = 6

\frac{y}{y + 1} < 2

factor 6w^5-9w^4+2w^3-3w^2 factor

6 w^{5} - 9 w^{4} + 2 w^{3} - 3 w^{2}

simplify (-2/3)^4 simplify

(- \frac{2}{3})^{4}

simplify 2/5*15 simplify

\frac{2}{5} \cdot 15

Frequently Asked Questions (FAQ)

What is factor x^6+y^6 ?
The solution to factor x^6+y^6 is (x^2+y^2)(x^4-x^2y^2+y^4)

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